HW1 - = BIM 108 Biomedical Signals and Control Spring 2008...

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========================================== BIM 108 Biomedical Signals and Control Spring 2008 ========================================== Homework #1 Reading Assignment : Sections 1.1 – 1.5, 3.1, 3.3 1. Show that each of these signals is equal to a sum of rectangular pulses p τ (t) and/or triangular pulses ( 1 - 2 | t |/ τ ) p τ ( t ). 2. Determine whether the following systems are linear or nonlinear. () xt is an arbitrary input and yt is the zero-state response to . a. () 2() 3 =+ b. , |()|1 0, otherwise > = c. () 4() d y ty t x dt += 1 2 0 -1 -2 (a) x(t) 1 2 12 0 -1 -2 (b) 1 3 4 -4 -3 1 2 0 -1 -2 (c) 1 2 3 0 -1 -2 (d) 1 1 2 0 (e) 1 3 4 5 ··· (repeats) t t t t t x(t) x(t) x(t) x(t)
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d. () cos (()) y tx t = e. ()() tt x = f. ) (( ) ex yt d λ −∞ = 3. Determine whether the systems in problem 2 are causal or noncausal. 4. Determine whether the systems in problem 2 have memory or are memoryless. 5. Determine whether the systems in problem 2 are time invariant or time varying. 6. A LTI system responds to the input () xt ut = with the output
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This note was uploaded on 10/15/2010 for the course BIM BIM108 taught by Professor Qiu during the Winter '09 term at UC Davis.

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HW1 - = BIM 108 Biomedical Signals and Control Spring 2008...

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